Use spherical coordinates to find the volume of the solid contained inside the sphere x^2 +y^2 + z^2= 4 and above the upper half of the cone x^2 +y^2 = z^2.  [Hint: You should determine where the sphere and the cone intersect.]

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter8: Further Techniques And Applications Of Integration
Section8.3: Volume And Average Value
Problem 18E
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Use spherical coordinates to find the volume of the solid contained inside the sphere x^2 +y^2 + z^2= 4 and above the upper half of the cone x^2 +y^2 = z^2.  [Hint: You should determine where the sphere and the cone intersect.]

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